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Finding the Fourth Proportional to 3,715.67, 5,573.46 and 904.52

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Solution

The fourth proportional to 3,715.67, 5,573.46 and 904.52 is: 1,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.67 : 5,573.46 = 904.52 : x
  2. Step 2: Convert to fraction form
    3,715.67/5,573.46 = 904.52/x
  3. Step 3: Cross multiply
    3,715.67x = 5,573.46 × 904.52
  4. Step 4: Simplify right side
    3,715.67x = 5,041,278.17
  5. Step 5: Solve for x
    x = 5,041,278.17/3,715.67
  6. Step 6: Final answer
    x = 1,356.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.